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3 years ago

Plz help me with this

Mathematics

1 answer:

Artyom0805 [142]3 years ago

4 0

Answer: $\bold{d)\quad y = 3 cos (\dfrac{4}{3}x-2\pi) + 2}$

Step-by-step explanation:

$\text{Period = }\dfrac{2\pi}{B}\\\\\\\dfrac{1}{2}\text{Period = }\dfrac{1}{2}\cdot \dfrac{2\pi}{B}\quad =\dfrac{2\pi}{2B}\\\\\\\text{In the given equation, B = }\dfrac{2}{3}\implies 2B=\dfrac{2\cdot 2}{3}\quad =\dfrac{4}{3}\\$

The only option that has B = 4/3 is the last one.

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A certain paint is sold in both 1-gal cans and 1-qt cans. The gallon can cost $13 and the quart can cost $5. How much more do yo

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Answer:

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Step-by-step explanation:

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3 years ago

What is the equation of the line that passes through the point (-3,-8) and has a slope of 4?

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Step-by-step explanation:

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3 years ago

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3 years ago

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3 years ago

Factorise fully the following: a) x² + 2x b) 2x² - 6x c) 15x - 10x³ d) 9x² + 3x³

Lostsunrise [7]

Answer:

a) $x(x+2)$

b) $2x(x-3)$

c) $5x(3-2x^2)$

d) $3x^2(3+x)$

Step-by-step explanation:

a) $x^2+2x$

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

$x(x+2)$

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What are the common terms here?

It can be seen that each of these share a 2x, so our factored form would be

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c) $15x-10x^3$

What about this one?

The common factor of this one is 5x, so our factored form would be

$5x(3-2x^2)$

d) $9x^2+3x^3$

The common factor of this one is $3x^2$ , so our factored form would be

$3x^2(3+x)$

6 0

4 years ago